The application of the quasi-conformal mapping obtained by our recent approach (see Part I of this series, C. Amatore, A.l. Oleinick, 1. Svir, J. Electroanal. Chem. (2006), in press, doi: 10.1016/j.jelechem.2006.08.001) for efficient numerical solution of 2D diffusion problems in systems with recessed disk microelectrodes is described. The ensuing quasi-conformal transformation allows effective resolution of singularities present at the electrode edge and at those of the insulating material in which the electrode rests. This enables, in particular, fast and precise simulations of single recessed/protruding disk (band) microelectrodes with arbitrary inclination angles as well as their arrays. (c) 2006 Elsevier B.V. All rights reserved.